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169
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ICALP
2005
Springer
15 years 10 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek
JCSS
2000
116views more  JCSS 2000»
15 years 4 months ago
Time-Space Tradeoffs for Satisfiability
We give the first nontrivial model-independent time-space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved simultaneously in n1+o(1) time and n1space for an...
Lance Fortnow
164
Voted
COLT
2006
Springer
15 years 8 months ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
125
Voted
APPROX
2007
Springer
86views Algorithms» more  APPROX 2007»
15 years 9 months ago
Lower Bounds for Swapping Arthur and Merlin
We prove a lower bound for swapping the order of Arthur and Merlin in two-round MerlinArthur games using black-box techniques. Namely, we show that any AM-game requires time (t2 )...
Scott Diehl
145
Voted
ISAAC
2004
Springer
87views Algorithms» more  ISAAC 2004»
15 years 10 months ago
Random Access to Advice Strings and Collapsing Results
We propose a model of computation where a Turing machine is given random access to an advice string. With random access, an advice string of exponential length becomes meaningful ...
Jin-yi Cai, Osamu Watanabe